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- R. P. Gilbert and Vasyl M. Harik and Alexander Panachenko Vibration of two bounded composites: effects of the interface and distinct periodic structures
- R. P. Gilbert and A. Panchenko Effective acoustic equations for a two-phase medium with microstructure
- J. L. Buchanan, R. P. Gilbert and Khaldoun Khashanah Determination of the parameters of cancellous bone using low frequency acoustic measurements
- R. P. Gilbert and M. Fang Nonlinear systems arising from non isothermal, non-Newtonian Hele-Shaw flows in the presence of body forces and sources
- R. P. Gilbert and A. Mikelic Homogenization of the acoustic properties of the seabed; part I
- R. P. Gilbert and Yongzhi Xu Acoustic imaging in a shallow ocean with an icecap
- J.L. Buchanan, R. P. Gilbert, Armand Wirgin and Yongzhi Xu Identification by the intersecting canonica domain method of the size, shape and depth of a soft body of revolution located within an acoustic waveguide
- M. Fang and R. P. Gilbert An obstacle problem in non-isothermal and non-Newtonian Hele-Shaw flows
- R. P. Gilbert, A. Panachenko and X.-M, Xie Homogenization of a viscoelastic matrix in linear frictional contact
- M. Fang, R. P. Gilbert and Y. Xu Viscosity dominated flows with temperature-dependent viscosity
- Zhongyan Lin and R. P. Gilbert Numerical algorithim based on transmutation for solving inverse wave equation
- R. P. Gilbert and Yvonne Ou Acoustic wave propagation in a composite of two different poroelastic materials with a very rough periodic interface: a homogenization approach
- Doo-Sung Lee, R. P. Gilbert and N. Zeev Identification of objects in an acoustic wave guide inversion II: Robin-Dirichlet conditions
- J. L. Buchanan and R. P. Gilbert Determination of the parameters of cancellous bone using high frequency acoustic measurements
- N. Chinchaladze and R. P. Gilbert Vibration of an elastic plate under action of an incompressible fluid in the case of $N=0$ approximation of I. Vekua’s hierarchial models
- J. L. Buchanan and R. P. Gilbert Determination of the parameters of cancellous bone using high frequency acoustic measurements II: Inverse problems
- N. Chinchaladze, R. P. Gilbert, G. Jaiani, S. Kharibegashvili and D. Natroshvili Existence and uniqueness theorems for cusped prismatic shells in the $N$-th hierarchial model
- R. P. Gilbert and R. Ronkese An asymptotic model of a nonlinear adaptive elastic plate
- R. P. Gilbert, R. Ronkese and Xuming Xie Asymptotic Model of a Nonlinear Adaptive Visco-elastic Rod
- Ming Fang, R. P. Gilbert, Alex Panchenko and Ana Vasilic Homogenizing the time harmonic acoustics of bone: The monophasic case
- Yongzhi Xu and R. P. Gilbert Some inverse problems raised from a mathematical model of ductal carcinoma in situ
- Ming Fang, R. P. Gilbert, Philippe Guyenne and Ana Vasilic Numerical Homogenization of the time harmonic acoustics of bone: The monophasic case
- M. Fang and R. P. Gilbert Compression Molding II: Existance of the solution for a Hele-Shaw type model
- R. P. Gilbert, G. C. Hsiao Determination of bone density using low frequency acoustic measurements
- R. P. Gilbert, George C. Hsiao and Michael Shoushani The Biot model for anisotropic poro-elastic media
- R. P. Gilbert, Philippe Guyenne and Michael Shoushani Recovery of parameters of cancellous bone by acoustic interrogation
- Sandra Ilic, Klaus Hackl and R. P. Gilbert Application of the multiscale FEM to the modeling of cancellous bone
- Sandra Ilic, Klaus Hackl and R. P. Gilbert Investigation of the influence of reflection on the attenuation of cancellous bone
- Sandra Klinge Determination of the geometry of the RVE for cancellous bone by using the effective complex shear modulus
- Sandra Ilic, Klaus Hackl and R. P. Gilbert Application of a biphasic representative volume element to the simulation of wave propagation through cancellous bone